Show the Proof

import proveit
# Automation is not needed when only showing a stored proof:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%show_proof

	step type	requirements	statement
0	instantiation	1, 2, 3	,  ⊢
	: , : , :
1	reference	4	⊢
2	instantiation	4, 5, 6	,  ⊢
	: , : , :
3	instantiation	7, 13	,  ⊢
	:
4	axiom		⊢
	proveit.logic.equality.equals_transitivity
5	instantiation	8, 9	⊢
	: , : , :
6	instantiation	10, 11, 12, 13, 14*	,  ⊢
	: , : , :
7	theorem		⊢
	proveit.numbers.division.frac_one_denom
8	axiom		⊢
	proveit.logic.equality.substitution
9	instantiation	15, 71, 74, 16, 17, 18, 26, 19, 20	⊢
	: , : , : , : , : , :
10	theorem		⊢
	proveit.numbers.division.frac_cancel_left
11	instantiation	72, 22, 21	⊢
	: , : , :
12	instantiation	72, 22, 23	⊢
	: , : , :
13	instantiation	72, 50, 24	,  ⊢
	: , : , :
14	instantiation	25, 26	⊢
	:
15	theorem		⊢
	proveit.numbers.multiplication.association
16	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
17	instantiation	27	⊢
	: , :
18	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
19	instantiation	72, 50, 41	⊢
	: , : , :
20	instantiation	72, 50, 28	⊢
	: , : , :
21	instantiation	72, 30, 29	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_nonzero_within_complex_nonzero
23	instantiation	72, 30, 31	⊢
	: , : , :
24	instantiation	32, 33, 34, 35	,  ⊢
	: , : , :
25	theorem		⊢
	proveit.numbers.multiplication.elim_one_right
26	instantiation	72, 50, 61	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
28	instantiation	72, 36, 37	⊢
	: , : , :
29	instantiation	72, 39, 38	⊢
	: , : , :
30	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_nonzero_within_real_nonzero
31	instantiation	72, 39, 40	⊢
	: , : , :
32	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_oc__is__real
33	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
34	instantiation	59, 41, 61, 62	⊢
	: , :
35	instantiation	42, 58, 43	,  ⊢
	:
36	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_nonneg_within_real
37	instantiation	44, 45	⊢
	:
38	instantiation	72, 46, 67	⊢
	: , : , :
39	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.nonzero_int_within_rational_nonzero
40	instantiation	72, 46, 47	⊢
	: , : , :
41	instantiation	72, 48, 49	⊢
	: , : , :
42	theorem		⊢
	proveit.physics.quantum.QPE._scaled_abs_delta_b_floor_diff_interval
43	assumption		⊢
44	theorem		⊢
	proveit.numbers.absolute_value.abs_complex_closure
45	instantiation	72, 50, 51	⊢
	: , : , :
46	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_nonzero_int
47	theorem		⊢
	proveit.numbers.numerals.decimals.posnat1
48	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
49	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
50	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
51	instantiation	52, 53, 56, 54	⊢
	: , : , :
52	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
53	instantiation	55, 56	⊢
	:
54	instantiation	57, 58	⊢
	:
55	theorem		⊢
	proveit.numbers.negation.real_closure
56	instantiation	59, 60, 61, 62	⊢
	: , :
57	theorem		⊢
	proveit.physics.quantum.QPE._delta_b_floor_diff_in_interval
58	assumption		⊢
59	theorem		⊢
	proveit.numbers.division.div_real_closure
60	instantiation	72, 64, 63	⊢
	: , : , :
61	instantiation	72, 64, 65	⊢
	: , : , :
62	instantiation	66, 67	⊢
	:
63	instantiation	72, 69, 68	⊢
	: , : , :
64	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
65	instantiation	72, 69, 70	⊢
	: , : , :
66	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nonzero_if_is_nat_pos
67	theorem		⊢
	proveit.numbers.numerals.decimals.posnat2
68	instantiation	72, 73, 71	⊢
	: , : , :
69	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
70	instantiation	72, 73, 74	⊢
	: , : , :
71	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
72	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
73	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
74	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
*equality replacement requirements